Table of Contents

1 Kronecker Matrix Algebra.- 2 A Hadamard Matrix.- 3 The Sylvester-Hadamard Matrix of Rank 2n.- 4 The Eigenvalues of Hn.- 5 The Eigenvectors of Hn.- 6 Other Constructions of Hn.- 7 The Hadamard Transform and Its Fast Implementation.- 8 Use of the 1 -D Hadamard Transform in the Computation of a 2-D Hadamard Transform.- 9 The Fast Fourier Transform and the Hadamard Transform.- 10 Computational Structures.- 11 Efficient Hadamard Transform Domain Computation.- 12 The Hadamard Transform in Statistics.- 13 The Hadamard Transform and Error-Correction Coding.- 14 Boolean Functions.- 15 Spectrally Preconditioned Threshold Logic.- 16 Synthesis of Bent Functions.- 17 The m-Sequence.- 18 Composite Sequences.- 19 The Thue-Morse Sequence.- 20 Signal Representation.- 21 A New Hadamard Basis and Its Implication for Signaling.- 22 A Stochastic Operator Field.- 23 A Naturalness Preserving Transform.- References.

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